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Finding the Fourth Proportional to 652,252.40, 978,382.24 and 297,018.80

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Solution

The fourth proportional to 652,252.40, 978,382.24 and 297,018.80 is: 445,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,252.40 : 978,382.24 = 297,018.80 : x
  2. Step 2: Convert to fraction form
    652,252.40/978,382.24 = 297,018.80/x
  3. Step 3: Cross multiply
    652,252.40x = 978,382.24 × 297,018.80
  4. Step 4: Simplify right side
    652,252.40x = 290,597,918,866.11
  5. Step 5: Solve for x
    x = 290,597,918,866.11/652,252.40
  6. Step 6: Final answer
    x = 445,529.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.